Free vibration analysis of the functionally graded sandwich beams by a meshfree boundary-domain integral equation method

2014 ◽  
Vol 117 ◽  
pp. 32-39 ◽  
Author(s):  
Y. Yang ◽  
C.C. Lam ◽  
K.P. Kou ◽  
V.P. Iu
Keyword(s):  
Integral Equation ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Integral Equation Method ◽  
Functionally Graded ◽  
Equation Method ◽  
Sandwich Beams ◽  
Domain Integral

Application of a Set of Completed System of Orthogonal Functions in L2[a,b] Space on the Vibration Analysis of Annular Plates

2011 ◽  
Vol 42 (11) ◽  
pp. 25-29
Author(s):  
WeiDong Wang ◽  
Gang Cheng ◽  
Quan Cheng
Keyword(s):  
Integral Equation ◽  
Free Vibration ◽  
High Precision ◽  
Green's Function ◽  
Vibration Analysis ◽  
Annular Plate ◽  
Integral Equation Method ◽  
Equation Method ◽  
Orthogonal Functions ◽  
Annular Plates

A type of complete systems of orthogonal functions in L2[a,b] space is introduced into the construction of Green's function of annular plate. A brief and effective method is derived to study the free vibration of annular plates by using the integral equation method. The results obtained not only reveal its briefness and high precision, but also provide a reliable premise for the vibration analysis of more complex annular plates.

A two-dimensional free vibration analysis of functionally graded sandwich beams under thermal environment

2012 ◽  
Vol 226 (12) ◽  
pp. 2860-2873 ◽  
Author(s):  
AR Setoodeh ◽  
M Ghorbanzadeh ◽  
P Malekzadeh
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Vibration Analysis ◽  
Thermal Environment ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Geometrical Parameters ◽  
Sandwich Beams ◽  
Two Dimensional

In this article, free vibration analysis of elastically supported sandwich beams with functionally graded face sheets subjected to thermal environment is presented. In order to accurately include the transverse shear deformation and the inertia effects, two-dimensional elasticity theory is used to formulate the problem. The layerwise theory in conjunction with the differential quadrature method is employed to discretize the governing equations in the thickness and axial directions, respectively. The material properties of functionally graded face sheets are assumed to be temperature-dependent and graded in the thickness direction according to a power-law distribution. For the purpose of comparison, the problem under consideration is also solved using two-dimensional finite element method and the first-order shear deformation theory. The accuracy, convergence, and versatility of the method are demonstrated by comparing the results with those of the two aforementioned approaches and also with the existing solutions in literature. Eventually, some new numerical results are presented which depict the effects of different material and geometrical parameters on natural frequencies and mode shapes of the beam.

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